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anonymous

7 years ago

Well, you're told 'a' has to be between -1 and 0, NOT inclusive of these two values. You're also told that \[y=|a|x\]which means you're taking the magnitude of 'a' (i.e. the square root of the square (basically, here, the positive version of the number)). The graph is going to be a series of graphs (infinitely many) but you're not going to construct infinitely many graphs. All you need to do is plot the boundary graphs - i.e. when a=-1 and when a = 0, and you'd draw them with dashed lines since the equation can't actually take a=-1 and a=0 (if there were less than or equal signs, you would draw solid lines). So you should have something like the attached (to come):